27x^3-64y^3?

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Answer 1 · 2017-11-02T17:15:14

#(3x-4y)(9x^2+12xy+16y^2)#

#27x^3-64y^3#
#=(3x)^3-(4y)^3#
#=(3x-4y)[(3x)^2+(3x)(4y)+(4y)^2]#
#=(3x-4y)(9x^2+12xy+16y^2)#

Noted that:

#a^3-b^3=(a-b)(a^2+ab+b^2)#
#a^3+b^3=(a+b)(a^2-ab+b^2)#